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Finding the Fourth Proportional to 12,846.06, 17,722.44 and 7,808.58

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Solution

The fourth proportional to 12,846.06, 17,722.44 and 7,808.58 is: 10,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.06 : 17,722.44 = 7,808.58 : x
  2. Step 2: Convert to fraction form
    12,846.06/17,722.44 = 7,808.58/x
  3. Step 3: Cross multiply
    12,846.06x = 17,722.44 × 7,808.58
  4. Step 4: Simplify right side
    12,846.06x = 138,387,090.54
  5. Step 5: Solve for x
    x = 138,387,090.54/12,846.06
  6. Step 6: Final answer
    x = 10,772.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.